is 2 3105863 - 1
has 934958 decimal digits
takes 0.264 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFF4CA36A34881D11double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.191167.6471 %30000001000000001.02248.0494 %20.213570.2513 %
Target2641.146065.6250 %1400012000000.00971.5077 %1.155766.1433 %
Difference+4+18.0451+2.0221 %+2986000+98800000+1.0127+6.5417%+19.0578+4.1080 %

Known prime factors (1 factor, 77.9 bits, 0.00250788% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31058632802744269703525352462332477.89145120217306808532
22 × 3 × 7 × 53 × 10134819700541
2021-03-1153101348197005419,855.068,144127,275

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.574%
2009-07-03Carsten Kossendeymother15000180000--0.0031.414%
2011-08-22Squeeky_SquirrelT7500_220010000021250006--0.0264.022%
2016-08-26JossManual testing10000042500006--0.0404.638%
2016-12-27JossManual testing120000120000---1.637%
2017-01-19JossManual testing156000156000---1.859%
2017-02-04JossManual testing187200187200---2.022%
2017-02-15JossManual testing22464022464006---4.520%
2017-03-11JossManual testing26956826956806--0.0504.800%
2018-08-02mikrMSI300000010000000012--1.02210.989%
2022-02-20JossManual testing1000000128282700--1.20810.534%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-04-29David Campeauv4_computers212600.025
2009-02-13Sturle Sundeghirardelli.ifi2602610.049
2011-11-17markrManual testing2612620.099
2013-01-03dbaughManual testing2622630.316
2015-02-07VictordeHollanderManual testing2632640.632
2015-02-07VictordeHollanderManual testing2642651.203
2015-06-11ThaManual testing2652662.406
2017-04-11Gordon SpenceManual testing2662674.812
2019-02-04TJAOIManual testing2672689.62


ECM factoring results:
Total ECM effort:5.383 GHz-days
Estimated T-Level:20.836
DigitsB1CompleteFacMiss
20110001.80816.403%
25500000.16784.598%
302500000.01198.951%


ECM Summary

B1B2factorcurvesGHz-days
500005000000434.916
50000500000040.467


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22ANONYMOUSv4_computersFF4CA36A34881D110.264


PRP results:
dateuseridcompidcofactorsres64
2021-03-11SRJ2877LTOS
280274426970352535246233
CBAE5E17136650EA


CERT results:
dateuseridcompid
2021-03-12curtiscgrn016--21l


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 269568, B2 = 2695680 (P-1 stage 2)
B1 = 224640, B2 = 2246400 (P-1 stage 2)
B1 = 100000, B2 = 4250000 (P-1 stage 2)
B1 = 269568 (P-1 stage 1)
B1 = 224640 (P-1 stage 1)
B1 = 100000, B2 = 2125000 (P-1 stage 2)
B1 = 187200 (P-1 stage 1)
B1 = 156000 (P-1 stage 1)
B1 = 120000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.84 ~= 53-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00